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arXiv · 1411.1182

Linearization from complex Lie point transformations

Sajid Ali·Muhammad Safdar·Asghar Qadir
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Abstract

Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension $d$, with $d\leq 4$. We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. Furthermore we provide a geometrical construction of the procedure adopted that provides an analogue in $\R^{3}$ of the linearizability criteria in $\R^2$.

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Sajid Ali, Muhammad Safdar, Asghar Qadir. 2014-11-05. Linearization from complex Lie point transformations. https://doi.org/10.1155/2014/793247

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